Research map / Multi-agent systems and games / Cooperative multi-agent RL
Graph Diffusion for Robust Multi-Agent Coordination
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Proposes MCGD, a graph diffusion framework for offline multi-agent RL that combines categorical diffusion on inter-agent coordination edges with neighbor-dependent anisotropic diffusion on agent actions, evaluated on MPE, MAMuJoCo and SMAC.
Problem
Offline MARL struggles with out-of-distribution states and actions; existing diffusion-based methods diffuse each agent's trajectory independently and ignore inter-agent coordination structure, limiting robustness to dynamic changes.
Approach
Build a sparse k-nearest-neighbor coordination graph over agents, diffuse discrete edges via a similarity-derived categorical transition matrix and continuous node actions with neighbor-dependent anisotropic Gaussian noise, and sample actions with a graph denoiser guided by per-agent Q-functions.
Key results
- MCGD achieves the highest average return in all Expert/Good tasks, e.g., 3917.4 on 4ant versus 3446.5 for MADIFF, and 22.1 on SMAC 3m versus 19.6 for MADIFF.
- In shifted environments with dynamic coordination structure, MCGD improves over the best baseline by up to 14.2% (relative average gain) across MPE and MAMuJoCo settings.
- Ablations show both categorical diffusion (MCGD-CD) and anisotropic diffusion (MCGD-AD) variants outperform MADIFF on SMAC, and averaging neighbor observations beats feature concatenation in reward and compute time.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use graph diffusion for multi-agent coordination instead of independent trajectory diffusion | MCGD · MPE, MAMuJoCo, and SMAC (Expert or Good datasets) | episodic return: 5.7%; 6.5%; 4.7% | Helped |
| Use graph diffusion to model coordination under dynamic agent attributes and coordination structures | MCGD · MPE and MAMuJoCo shifted environments | episodic return: 14.2% | Helped |
| Add categorical diffusion for changing coordination edges (ablation) | MCGD · SMAC 3m, 2s3z, 5m6m, and 8m | episodic return | Helped |
| Add anisotropic diffusion for neighboring-agent-dependent action noise (ablation) | MCGD · SMAC 3m, 2s3z, 5m6m, and 8m | episodic return | Helped |
| Keep a fixed k-nearest-neighbor coordination graph instead of modeling changing edge structure (ablation) | MCGD-CD · SMAC complex scenarios | episodic return | Hurt |
| Perform independent diffusion on multi-agent trajectories instead of anisotropic, coordination-dependent diffusion (ablation) | MCGD-AD · SMAC | episodic return | Hurt |
| Average neighboring observations rather than concatenate their features (ablation) | MCGD · SMAC 3m, 2s3z, 5m6m, and 8m | average reward: 22.1 ± 0.1 vs 21.3 ± 0.3; 20.7 ± 0.1 vs 20.5 ± 0.1; 18.9 ± 0.5 vs 18.4 ± 0.4; 20.1 ± 0.2 vs 19.4 ± 0.4 | Helped |
| Average neighboring observations rather than concatenate their features (ablation) | MCGD · SMAC 3m, 2s3z, 5m6m, and 8m | computation time: 174.38 ± 10.45 vs 195.40 ± 8.77; 179.01 ± 9.83 vs 203.18 ± 16.04; 177.52 ± 14.77 vs 207.54 ± 13.80; 184.74 ± 11.37 vs 21 | Helped |
Limitations
- Evaluated only on simulated benchmarks; real-world multi-robot deployment is not yet reported.
- Coordination graph is restricted to a sparse k-nearest-neighbor structure, with more complex collaboration graphs left to future work.
- Diffusion-based sampling adds inference cost relative to direct policies (timing reported only in ablation).
Experimental setup
Datasets: MPE offline datasets (Pan et al., 2022) MAMuJoCo offline datasets (Formanek et al., 2023) SMAC offline datasets (Formanek et al., 2023)
Benchmarks: MPE Spread MPE Tag MPE World MAMuJoCo 2halfcheetah MAMuJoCo 2ant MAMuJoCo 4ant SMAC 3m SMAC 2s3z SMAC 5m6m SMAC 8m
Metrics: average episodic return standard deviation over 5 seeds relative improvement
Baselines: MA-ICQ MA-CQL OMAR MA-SfBC DOM2 MADIFF
Builds on: DDPM MADIFF DOM2 categorical discrete diffusion (D3PM/DiGress) Q-loss (Wang et al.)
Closest papers by meaning
- Context-Aware Sparse Deep Coordination Graphs (ICLR 2022 · similarity 0.90)
- Revisiting Multi-Agent World Modeling from a Diffusion-Inspired Perspective (NeurIPS 2025 · similarity 0.90)
- Bayesian Ego-graph inference for Networked Multi-Agent Reinforcement Learning (NeurIPS 2025 · similarity 0.89)
- Bridging Training and Execution via Dynamic Directed Graph-Based Communication in Cooperative Multi-Agent Systems (AAAI 2025 · similarity 0.88)
- MADiff: Offline Multi-agent Learning with Diffusion Models (NeurIPS 2024 · similarity 0.88)
- TAPE: Leveraging Agent Topology for Cooperative Multi-Agent Policy Gradient (AAAI 2024 · similarity 0.88)
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